711629 has 2 divisors, whose sum is σ = 711630. Its totient is φ = 711628.

The previous prime is 711617. The next prime is 711649. The reversal of 711629 is 926117.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 357604 + 354025 = 598^2 + 595^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-711629 is a prime.

It is a super-3 number, since 3×711629³ = 1081140579834333567, which contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is equal to p₅₇₄₂₈ and since 711629 and 57428 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 711598 and 711607.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (711649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 355814 + 355815.

It is an arithmetic number, because the mean of its divisors is an integer number (355815).

2⁷¹¹⁶²⁹ is an apocalyptic number.

It is an amenable number.

711629 is a deficient number, since it is larger than the sum of its proper divisors (1).

711629 is an equidigital number, since it uses as much as digits as its factorization.

711629 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 756, while the sum is 26.

The square root of 711629 is about 843.5810571605. The cubic root of 711629 is about 89.2793896625.

The spelling of 711629 in words is "seven hundred eleven thousand, six hundred twenty-nine".